Question

Two fifths of one less than a number is less than three fifths of one more than that number .what numbers are in the solution set of this problem?

Answer 1

2/5(x - 1) < 3/5(1 + x)

To find the solution, we can use the distributive property to simplify.

2/5x - 2/5 < 3/5 + 3/5x

Multiply all terms by 5.

2x - 2 < 3 + 3x

Subtract 2x from both sides.

-2 < 3 + x

Subtract 3 from both sides.

-5 < x

The value of x is greater than the value of -5.